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#1 2006-03-30 09:01:29

MathsIsFun
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Statistics Formulas

Statistics Formulas

Average (mean):



Binomial Probability Mass Function
The probability of getting exactly k successes out of n events where the probability of k on each event is p:

Mean:

Variance:

Standard deviation:


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman
 

#2 2006-05-04 01:58:59

ganesh
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Re: Statistics Formulas

Poisson Distribution

Poisson distrubtion is the limiting form of the Binomial Distribution when n, the number of trials is very large, and p, the probability of success, is very small, np remains finite.
Let



A random variable X taking values 0,1,2 .. is said to have a Poisson distribution with parameter

if its proabability distribution is given by


where r=0,1,2....

The mean of the Poisson Distribution


The variance of the Poisson Distribution


The mean and the variance of the Poisson Distribution is equal to
.


Character is who you are when no one is looking.
 

#3 2008-03-07 03:32:02

Daniel123
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Re: Statistics Formulas

Product Moment Correlation Coefficient (PMCC)



The least squares regression line

y = a + bx

    and   


Where





Last edited by Daniel123 (2008-03-23 12:32:39)

 

#4 2008-03-07 03:41:49

Daniel123
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Re: Statistics Formulas

Normal Distribution Function

Last edited by Daniel123 (2008-04-16 06:14:04)

 

#5 2008-12-07 23:50:57

ganesh
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Re: Statistics Formulas

Standard Deviation


where

and
is the mean.

Standard Deviation

where d = x - A, where A is the Assumed mean.

Standard Deviation for Discrete series:
In discrete series when deviations are taken from Arithmetic Mean,

where

and
is the mean.

When deviations are taken from Assumed mean,

where d = x - A and A is the Assumed mean.



Variance



Variance is the square of Standard Deviation. The positive square root of the variance is defined as Standard Deviation.


Standard Deviation for the first 'n' Natural numbers is


Character is who you are when no one is looking.
 

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